# Mathematics T (MAT09‑01) Competence aims and assessment

Examples of connections

## Competence aims after mathematics 1T

• formulate and solve problems through the use of computational thinking, different problem solving strategies, digital tools and programming
• read and understand mathematical proofs and explore and develop proofs in relevant mathematical topics
• identify variable quantities in different contexts, create formulas and explore these using digital tools
• explore strategies for solving equations, systems of equations and inequalities, and argue for one’s thought processes
• explain the difference between an identity, an equation, an algebraic expression and a function
• explore relationships between quadratic equations, quadratic inequalities, quadratic functions and the binomial formulas, and use these relationships in problem solving
• model situations related to different topics, discuss, present and explain the results and argue the validity of the models
• read, extract and evaluate mathematics in relevant texts on various topics and present relevant calculations and analyses of the results
• explore and describe the properties of polynomial functions, rational functions, exponential functions and power functions
• use average and instantaneous growth rates in concrete examples and account for the derivative
• explain polynomial division and use it to rewrite algebraic expressions, discuss functions and solve equations and inequalities
• explain the definitions of sine, cosine and tangent and use trigonometry to calculate the length, angles and area of arbitrary triangles
• justify the area, sine and cosine rules
• use trigonometry to analyse and solve complex theoretical and practical problems involving length, angles and area